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Finding the Fourth Proportional to 413.06, 618.17 and 310.10

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Solution

The fourth proportional to 413.06, 618.17 and 310.10 is: 464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 618.17 = 310.10 : x
  2. Step 2: Convert to fraction form
    413.06/618.17 = 310.10/x
  3. Step 3: Cross multiply
    413.06x = 618.17 × 310.10
  4. Step 4: Simplify right side
    413.06x = 191,689.88
  5. Step 5: Solve for x
    x = 191,689.88/413.06
  6. Step 6: Final answer
    x = 464.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.